Chemical Kinetics

For a reaction \(\mathrm{A} \rightarrow\) product, rate constant is \(2 \times 10^{-2} \mathrm{~s}^{-1}\). The initial concentration of \(\mathrm{A}\) is 1.0 mol dm\({ }^{-3}\). What is the value of \(\log \frac{1}{[\mathrm{~A}]_{\mathrm{t}}}\) after 100 seconds?